| Base | Representation |
|---|---|
| bin | 11111110111110001… |
| … | …001000000011010000 |
| 3 | 10021022222000111022100 |
| 4 | 133313301020003100 |
| 5 | 1030041213341311 |
| 6 | 23415440040400 |
| 7 | 2321020661061 |
| oct | 376761100320 |
| 9 | 107288014270 |
| 10 | 34221621456 |
| 11 | 13571238790 |
| 12 | 6770903100 |
| 13 | 32c4ba1269 |
| 14 | 1928dac568 |
| 15 | d54579a56 |
| hex | 7f7c480d0 |
34221621456 has 240 divisors, whose sum is σ = 108364314240. Its totient is φ = 9990190080.
The previous prime is 34221621439. The next prime is 34221621457. The reversal of 34221621456 is 65412612243.
34221621456 is a `hidden beast` number, since 3 + 4 + 2 + 21 + 621 + 4 + 5 + 6 = 666.
It is a super-2 number, since 2×342216214562 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 34221621456.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34221621457) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6033790 + ... + 6039458.
It is an arithmetic number, because the mean of its divisors is an integer number (451517976).
Almost surely, 234221621456 is an apocalyptic number.
34221621456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34221621456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54182157120).
34221621456 is an abundant number, since it is smaller than the sum of its proper divisors (74142692784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34221621456 is a wasteful number, since it uses less digits than its factorization.
34221621456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5834 (or 5825 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The spelling of 34221621456 in words is "thirty-four billion, two hundred twenty-one million, six hundred twenty-one thousand, four hundred fifty-six".
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